Pith Number

pith:Z4IKQS3T

pith:2025:Z4IKQS3T2DOO2ENVT2KTNHAAOU

not attested not anchored not stored refs pending

Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions

Trung Chau

arxiv:2502.06182 v1 · 2025-02-10 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4IKQS3T2DOO2ENVT2KTNHAAOU}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:56:01.863162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf10a84b73d0dced11b59e95369c007512b221938f36e646ede1589c3daac61d

Aliases

arxiv: 2502.06182 · arxiv_version: 2502.06182v1 · doi: 10.48550/arxiv.2502.06182 · pith_short_12: Z4IKQS3T2DOO · pith_short_16: Z4IKQS3T2DOO2ENV · pith_short_8: Z4IKQS3T

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z4IKQS3T2DOO2ENVT2KTNHAAOU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cf10a84b73d0dced11b59e95369c007512b221938f36e646ede1589c3daac61d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5dcc0431a6599ab21e8ac99e954842118acd2b3ef775801cc16d8e3702946ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-02-10T06:22:11Z",
    "title_canon_sha256": "1a0c935aa1073d41a153da667f2e39e02829f3aad0bc50c4e7ae727db5601960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06182",
    "kind": "arxiv",
    "version": 1
  }
}